Nick had $339 and Caden had $147 at first. Each of them bought an identical blouse and an identical sweater from the same shop. The sweater cost 2 times as much as the blouse. In the end, Nick had 5 times as much money as Caden. What was the cost of the blouse?
| |
Nick |
Caden |
Difference |
| Before |
$339 |
$147 |
$192 |
| Change |
- 1 blouse
- 1 sweater |
- 1 blouse
- 1 sweater |
|
| After |
5 u |
1 u |
4 u |
Since Nick and Caden bought the same items, the difference in their amounts remains the same.
Difference in the amounts that they had
= 5 u - 1 u
= 4 u
4 u = 339 - 147
4 u = 192
1 u = 192 ÷ 4 = 48
Amount that Caden had in the end
= 1 u
= $48
Cost of 1 blouse and 1 sweater
= 147 - 1 u
= 147 - 48
= $99
The sweater cost 2 times as much as the blouse.
Cost of 1 blouse = 1 p
Cost of 1 sweater = 2 p
Total cost of 1 blouse and 1 sweater
= 1 p + 2 p
= 3 p
3 p = 99
1 p = 99 ÷ 3 = 33
Cost of the blouse
= 1 p
= $33
Answer(s): $33
